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Finding the Third Proportional to 59,551.50 and 92,169

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Solution

The third proportional to 59,551.50 and 92,169 is: 142,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,551.50 : 92,169 = 92,169 : x
  2. Step 2: Convert to fraction form
    59,551.50/92,169 = 92,169/x
  3. Step 3: Cross multiply
    59,551.50x = 92,169 × 92,169
  4. Step 4: Simplify right side
    59,551.50x = 8,495,124,561
  5. Step 5: Solve for x
    x = 8,495,124,561/59,551.50
  6. Step 6: Final answer
    x = 142,651.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.